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Finding the Fourth Proportional to 155.04, 230.82 and 152.88

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Solution

The fourth proportional to 155.04, 230.82 and 152.88 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 230.82 = 152.88 : x
  2. Step 2: Convert to fraction form
    155.04/230.82 = 152.88/x
  3. Step 3: Cross multiply
    155.04x = 230.82 × 152.88
  4. Step 4: Simplify right side
    155.04x = 35,287.76
  5. Step 5: Solve for x
    x = 35,287.76/155.04
  6. Step 6: Final answer
    x = 227.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.